Personal Liability Insurance

Does anyone know if you can purchase personal accident insurance?

This would be for events outside of driving or at my house.

For example if I go for a bike ride, and cause an accident, I would be liable for damages, I swim in lakes and pools, there’s a possibility I run into someone and send them to the hospital, or if I’m out in public and accidentally break something.

I would like to safeguard my assets and money, and I’m curious if anyone knows of an insurance agency that quote for accidents in life that can cause myself to be sued for damages.